Question

What is the inverse of the function f(x) = x – 12?

Answer 1

f (x) =x+12 is the inverse of the function

Answer 2

`f^(-1)(x)=g(x)=(x+12)`

Explanation:

The given function is f(x) = ( x-12)

To find the inverse we will rewrite the function in an equation form

y = ( x - 12 )

Now we will replace y by x and x by y

x = y - 12

Now we will solve it for the value of y

y = ( x + 12 )

Finally we will rewrite the equation into a function.

g(x) = x + 12

This g (x) is the inverse function of f(x).

`f^(-1)(x)=g(x)=(x+12)`